UNIT 6 STUDIES IN SOCIAL SCIENCE APPLIED MATHEMATICS EXAM
QUESTIONS AND ANSWERS #5
Lesson 26: Population Mean and Proportion Studies from the Social Sciences
Workbook 26.1 (2 questions) - correct answer
1. A randomized telephone survey of adults in the United States determines that a
certain number out of 504 respondents have one or more pets. They use p^ to construct
a 95% confidence interval to estimate the proportion pp of American adults who have
pets to be (0.56137,0.60529).
How many respondents said they have one or more pets? - correct answer 294
Lesson 27: Evaluating Experimental and Observational Studies from the Social
Sciences - correct answer
Workbook 27.1 (3 questions) - correct answer
1. Which question would best be answered by conducting an experimental study? -
correct answer How does spraying calcium on apple trees once a month during the
growing season affect fruit production?
2. Which statement is true about an observational study? - correct answer No treatment
is applied to the subjects in the study.
3. An experiment was done to see if computer games were better at helping children
learn multiplication facts than the traditional paper-and-pencil drills used in the
classroom. Students in four third-grade classes were randomly selected to participate.
The students in the sample population practiced their multiplication facts using a
computer program, while the rest of the students did paper-and-pencil drills for the first
semester of the school year. The same pre- and post-test was given to all students.
Identify the dependent and independent variables in this experiment. - correct answer
Dependent-success at learning multiplication facts; Independent-use of computer
program to practice multiplication facts
Lesson 27 Checkpoint (8 questions) - correct answer
1. When looking at a graph of a variable that is normally distributed, what characteristic
is necessary? - correct answer A normal distribution is symmetrical with a vertical line
through its maximum value.
2. A marketing firm wants to know how many people in District 6 have tried Popeyes'
and Chick-fil-A's chicken sandwiches. Of the 10,000 people in District 6, 1500 are
vegetarians or vegans and have never tried either sandwich, 5000 have tried both, and
the rest have tried one or the other. What is the population proportion for people who
have tried both sandwiches? - correct answer 0.50
, 3. Metropolis has a 200,000 population. In a poll of 200 Metropolis residents, 50
indicated a preference for temperate weather. What is the estimated population mean of
the people who prefer temperate weather? - correct answer .25
4. A local high school's athletic department wants to calculate the proportion of students
who have attended a girls softball game at the school.
Using student email addresses, the department randomly chooses 250 students and
emails them the question. Of the 150 who respond, 22 answer they have attended a
girls softball game. What is the best estimate of the population proportion of students
who have attended a girls softball game at the school? - correct answer 0.147
5. Doctors put a group of women preparing to run their first marathon in the same
running group. All of the women were mothers. Which question would best be answered
by conducting an experimental study of these women? - correct answer How does age
affect the amount of time needed to complete the marathon?
6. Researchers have convened at a state hospital to observe 500 people with and
without an iron deficiency. Which research question is best suited for an observational
study of these people? - correct answer Do the people with an iron deficiency sleep
longer than the people without an iron deficiency?
7. Suppose a local university used an observational study to collect information from a
sample group to learn about the university's entire student population. Which statement
is true about the study? - correct answer No treatment is applied to the students in the
study.
8. An experimental study was conducted observing a 175-pound person exercising on a
treadmill at a rate of 3 miles per hour. The data collected is shown in the graph. The
values on the x-axis of the graph represent time exercised, and the values on the y-axis
represent the number of calories burned. What does the graph reveal? - correct answer
More time spent exercising on the treadmill resulted in more calories burned.
Lesson 28: Using Data to Evaluate Media Reports and Marketing Claims - correct
answer
Workbook 28.1 (3 questions) - correct answer
1. A marketing company takes a public opinion poll about the approval of a president
from 10,000 randomly selected people in the Midwest. The poll determines that 75% of
people surveyed believe the president is doing a good job. A political advertisement
uses the data to state that 75% of Americans believe the president is doing a good job.
This is an example of what type of bias? - correct answer area bias
2. An advertisement states that the following graph clearly shows a new model of car's
life expectancy has increased by 9 times because the bar for the new car's median life
expectancy appears to be 9 times greater than the bar for the old car's mean life
QUESTIONS AND ANSWERS #5
Lesson 26: Population Mean and Proportion Studies from the Social Sciences
Workbook 26.1 (2 questions) - correct answer
1. A randomized telephone survey of adults in the United States determines that a
certain number out of 504 respondents have one or more pets. They use p^ to construct
a 95% confidence interval to estimate the proportion pp of American adults who have
pets to be (0.56137,0.60529).
How many respondents said they have one or more pets? - correct answer 294
Lesson 27: Evaluating Experimental and Observational Studies from the Social
Sciences - correct answer
Workbook 27.1 (3 questions) - correct answer
1. Which question would best be answered by conducting an experimental study? -
correct answer How does spraying calcium on apple trees once a month during the
growing season affect fruit production?
2. Which statement is true about an observational study? - correct answer No treatment
is applied to the subjects in the study.
3. An experiment was done to see if computer games were better at helping children
learn multiplication facts than the traditional paper-and-pencil drills used in the
classroom. Students in four third-grade classes were randomly selected to participate.
The students in the sample population practiced their multiplication facts using a
computer program, while the rest of the students did paper-and-pencil drills for the first
semester of the school year. The same pre- and post-test was given to all students.
Identify the dependent and independent variables in this experiment. - correct answer
Dependent-success at learning multiplication facts; Independent-use of computer
program to practice multiplication facts
Lesson 27 Checkpoint (8 questions) - correct answer
1. When looking at a graph of a variable that is normally distributed, what characteristic
is necessary? - correct answer A normal distribution is symmetrical with a vertical line
through its maximum value.
2. A marketing firm wants to know how many people in District 6 have tried Popeyes'
and Chick-fil-A's chicken sandwiches. Of the 10,000 people in District 6, 1500 are
vegetarians or vegans and have never tried either sandwich, 5000 have tried both, and
the rest have tried one or the other. What is the population proportion for people who
have tried both sandwiches? - correct answer 0.50
, 3. Metropolis has a 200,000 population. In a poll of 200 Metropolis residents, 50
indicated a preference for temperate weather. What is the estimated population mean of
the people who prefer temperate weather? - correct answer .25
4. A local high school's athletic department wants to calculate the proportion of students
who have attended a girls softball game at the school.
Using student email addresses, the department randomly chooses 250 students and
emails them the question. Of the 150 who respond, 22 answer they have attended a
girls softball game. What is the best estimate of the population proportion of students
who have attended a girls softball game at the school? - correct answer 0.147
5. Doctors put a group of women preparing to run their first marathon in the same
running group. All of the women were mothers. Which question would best be answered
by conducting an experimental study of these women? - correct answer How does age
affect the amount of time needed to complete the marathon?
6. Researchers have convened at a state hospital to observe 500 people with and
without an iron deficiency. Which research question is best suited for an observational
study of these people? - correct answer Do the people with an iron deficiency sleep
longer than the people without an iron deficiency?
7. Suppose a local university used an observational study to collect information from a
sample group to learn about the university's entire student population. Which statement
is true about the study? - correct answer No treatment is applied to the students in the
study.
8. An experimental study was conducted observing a 175-pound person exercising on a
treadmill at a rate of 3 miles per hour. The data collected is shown in the graph. The
values on the x-axis of the graph represent time exercised, and the values on the y-axis
represent the number of calories burned. What does the graph reveal? - correct answer
More time spent exercising on the treadmill resulted in more calories burned.
Lesson 28: Using Data to Evaluate Media Reports and Marketing Claims - correct
answer
Workbook 28.1 (3 questions) - correct answer
1. A marketing company takes a public opinion poll about the approval of a president
from 10,000 randomly selected people in the Midwest. The poll determines that 75% of
people surveyed believe the president is doing a good job. A political advertisement
uses the data to state that 75% of Americans believe the president is doing a good job.
This is an example of what type of bias? - correct answer area bias
2. An advertisement states that the following graph clearly shows a new model of car's
life expectancy has increased by 9 times because the bar for the new car's median life
expectancy appears to be 9 times greater than the bar for the old car's mean life
